Finding the Third Proportional to 109,093.50 and 149,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,093.50 : 149,287.50 = 149,287.50 : x
2. Step 2: Convert to fraction form
   109,093.50/149,287.50 = 149,287.50/x
3. Step 3: Cross multiply
   109,093.50x = 149,287.50 × 149,287.50
4. Step 4: Simplify right side
   109,093.50x = 22,286,757,656.25
5. Step 5: Solve for x
   x = 22,286,757,656.25/109,093.50
6. Step 6: Final answer
   x = 204,290.43